101221011011121 has 8 divisors (see below), whose sum is σ = 135667951931904. Its totient is φ = 67127372048880.

The previous prime is 101221011011093. The next prime is 101221011011167. The reversal of 101221011011121 is 121110110122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101221011011121 - 2⁷ = 101221011010993 is a prime.

It is a super-2 number, since 2×101221011011121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221011011121.

It is not an unprimeable number, because it can be changed into a prime (101221011011621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88325488966 + ... + 88325490111.

It is an arithmetic number, because the mean of its divisors is an integer number (16958493991488).

Almost surely, 2^{101221011011121} is an apocalyptic number.

It is an amenable number.

101221011011121 is a deficient number, since it is larger than the sum of its proper divisors (34446940920783).

101221011011121 is a wasteful number, since it uses less digits than its factorization.

101221011011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176650979271.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101221011011121 its reverse (121110110122101), we get a palindrome (222331121133222).

The spelling of 101221011011121 in words is "one hundred one trillion, two hundred twenty-one billion, eleven million, eleven thousand, one hundred twenty-one".